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Finding the Fourth Proportional to 3,709.76, 5,564.34 and 1,369.67

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Solution

The fourth proportional to 3,709.76, 5,564.34 and 1,369.67 is: 2,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.76 : 5,564.34 = 1,369.67 : x
  2. Step 2: Convert to fraction form
    3,709.76/5,564.34 = 1,369.67/x
  3. Step 3: Cross multiply
    3,709.76x = 5,564.34 × 1,369.67
  4. Step 4: Simplify right side
    3,709.76x = 7,621,281.75
  5. Step 5: Solve for x
    x = 7,621,281.75/3,709.76
  6. Step 6: Final answer
    x = 2,054.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.